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International Journal of Rotating Machinery
Volume 2017 (2017), Article ID 1264904, 8 pages
https://doi.org/10.1155/2017/1264904
Research Article

Dynamic Model of Spur Gear Pair with Modulation Internal Excitation

1School of Mechanical Engineering, Liaoning Institute of Science and Technology, Benxi, Liaoning, China
2School of Mechanical Engineering, Shenyang University of Technology, Shenyang, Liaoning, China

Correspondence should be addressed to Lei Zhang; moc.anis@9684lgnahz

Received 28 November 2016; Revised 27 February 2017; Accepted 15 March 2017; Published 18 April 2017

Academic Editor: Hyeong Joon Ahn

Copyright © 2017 Zhong Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. H. N. Özgüven and D. R. Houser, “Mathematical models used in gear dynamics—a review,” Journal of Sound and Vibration, vol. 121, no. 3, pp. 383–411, 1988. View at Publisher · View at Google Scholar · View at Scopus
  2. A. Kahraman and R. Singh, “Non-linear dynamics of a spur gear pair,” Journal of Sound and Vibration, vol. 142, no. 1, pp. 49–75, 1990. View at Publisher · View at Google Scholar · View at Scopus
  3. A. Kahraman and R. Singh, “Non-linear dynamics of a geared rotor-bearing system with multiple clearances,” Journal of Sound and Vibration, vol. 144, no. 3, pp. 469–506, 1991. View at Publisher · View at Google Scholar · View at Scopus
  4. A. Kahraman and R. Singh, “Interactions between time-varying mesh stiffness and clearance non-linearities in a geared system,” Journal of Sound and Vibration, vol. 146, no. 1, pp. 135–156, 1991. View at Publisher · View at Google Scholar · View at Scopus
  5. G. W. Blankenship and A. Kahraman, “Steady state forced response of a mechanical oscillator with combined parametric excitation and clearance type non-linearity,” Journal of Sound and Vibration, vol. 185, no. 5, pp. 743–765, 1995. View at Publisher · View at Google Scholar · View at Scopus
  6. Y. Cai and T. Hayashi, “Linear approximated equation of vibration of a pair of spur gears (theory and experiment),” Journal of Mechanical Design, Transactions Of the ASME, vol. 116, no. 2, pp. 558–564, 1994. View at Publisher · View at Google Scholar · View at Scopus
  7. Y. Cai, “Simulation on the rotational vibration of helical gears in consideration of the tooth separation phenomenon (a new stiffness function of helical involute tooth pair),” Journal of Mechanical Design, vol. 117, no. 3, pp. 460–469, 1995. View at Publisher · View at Google Scholar · View at Scopus
  8. Y. Shen, S. Yang, and X. Liu, “Nonlinear dynamics of a spur gear pair with time-varying stiffness and backlash based on incremental harmonic balance method,” International Journal of Mechanical Sciences, vol. 48, no. 11, pp. 1256–1263, 2006. View at Publisher · View at Google Scholar · View at Scopus
  9. Y. Zhang, Q. Wang, H. Ma, J. Huang, and C. Zhao, “Dynamic analysis of three-dimensional helical geared rotor system with geometric eccentricity,” Journal of Mechanical Science and Technology, vol. 27, no. 11, pp. 3231–3242, 2013. View at Publisher · View at Google Scholar · View at Scopus
  10. Y.-M. Zhang, J. Yang, P. Hu, and Q.-B. Wang, “Meshing characteristics analysis of spur gear pair considering modification coefficient,” Journal of Northeastern University (Natural Science), vol. 34, no. 9, pp. 1287–1291, 2013. View at Google Scholar · View at Scopus
  11. H. Ma, L. Zhu, Q. Wang, and Y. Zhang, “Modal coupling characteristic analysis of a helical gear rotor system with parallel shafts,” Proceedings of the Chinese Society of Electrical Engineering, vol. 32, no. 29, pp. 131–136, 2012. View at Google Scholar · View at Scopus
  12. L. Cui, X.-G. Song, and J.-R. Zheng, “Nonlinear dynamic analysis for a geared flexible rotor system considering multi-clearance,” Journal of Vibration and Shock, vol. 32, no. 8, pp. 171–198, 2013 (Chinese). View at Google Scholar · View at Scopus
  13. S. Li and A. Kahraman, “A tribo-dynamic model of a spur gear pair,” Journal of Sound and Vibration, vol. 332, no. 20, pp. 4963–4978, 2013. View at Publisher · View at Google Scholar · View at Scopus
  14. J. Liu, S. Wang, S. Zhou et al., “Nonlinear behavior of a spur gear pair transmission system with backlash,” Journal of Vibroengineering, vol. 16, no. 8, pp. 3850–3861, 2014. View at Google Scholar
  15. M. Inalpolat, M. Handschuh, and A. Kahraman, “Influence of indexing errors on dynamic response of spur gear pairs,” Mechanical Systems and Signal Processing, vol. 60-61, pp. 391–405, 2015. View at Publisher · View at Google Scholar · View at Scopus
  16. I. Atanasovska, “The mathematical phenomenological mapping in non-linear dynamics of spur gear pair and radial ball bearing due to the variable stiffness,” International Journal of Non-Linear Mechanics, vol. 73, pp. 114–120, 2015. View at Publisher · View at Google Scholar · View at Scopus
  17. A. Fernández-del-Rincón, M. Iglesias, A. de-Juan, A. Diez-Ibarbia, P. García, and F. Viadero, “Gear transmission dynamics: effects of index and run out errors,” Applied Acoustics, vol. 108, pp. 63–83, 2016. View at Publisher · View at Google Scholar
  18. Z. Liu, Z. Liu, J. Zhao, and G. Zhang, “Study on interactions between tooth backlash and journal bearing clearance nonlinearity in spur gear pair system,” Mechanism and Machine Theory, vol. 107, pp. 229–245, 2017. View at Publisher · View at Google Scholar
  19. K. Huang, Y. Xiong, T. Wang, and Q. Chen, “Research on the dynamic response of high-contact-ratio spur gears influenced by surface roughness under EHL condition,” Applied Surface Science, vol. 392, pp. 8–18, 2017. View at Publisher · View at Google Scholar
  20. G. W. Blankenship and R. Singh, “Analytical solution for modulation sidebands associated with a class of mechanical oscillators,” Journal of Sound and Vibration, vol. 179, no. 1, pp. 13–36, 1995. View at Publisher · View at Google Scholar · View at Scopus
  21. F. Chaari, W. Bartelmus, R. Zimroz, T. Fakhfakh, and M. Haddar, “Gearbox vibration signal amplitude and frequency modulation,” Shock and Vibration, vol. 19, no. 4, pp. 635–652, 2012. View at Publisher · View at Google Scholar · View at Scopus